Fugacity of Cathodic Electrolyte of Concentration Cell without Transference Calculator

Cathodic Fugacity Formula:

\[ f_2 = \exp\left(\frac{EMF \times F}{2 \times R \times T}\right) \times \left(\frac{c_1 \times f_1}{c_2}\right) \]

EMF of Cell:

Temperature:

Anodic Concentration:

mol/m³

Anodic Fugacity:

Cathodic Concentration:

mol/m³

Cathodic Fugacity (Pa):

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1. What is Cathodic Fugacity of Concentration Cell?

Definition: Cathodic fugacity is a thermodynamic property of a real gas in the cathodic half-cell that, when substituted for pressure in ideal gas equations, makes them applicable to real gases.

Purpose: This calculator determines the fugacity of the electrolyte in the cathodic compartment of a concentration cell without transference.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ f_2 = \exp\left(\frac{EMF \times F}{2 \times R \times T}\right) \times \left(\frac{c_1 \times f_1}{c_2}\right) \]

Where:

\( f_2 \) — Cathodic fugacity (Pa)
\( EMF \) — Electromotive force of the cell (V)
\( F \) — Faraday constant (96485.33212 C/mol)
\( R \) — Universal gas constant (8.314 J/mol·K)
\( T \) — Temperature (K)
\( c_1 \) — Anodic concentration (mol/m³)
\( f_1 \) — Anodic fugacity (Pa)
\( c_2 \) — Cathodic concentration (mol/m³)

Explanation: The formula relates the fugacity difference between two compartments of a concentration cell to the measured EMF and concentrations.

3. Importance of Cathodic Fugacity Calculation

Details: Calculating cathodic fugacity helps in understanding the thermodynamic properties of electrolytes and predicting cell behavior in electrochemical systems.

4. Using the Calculator

Tips: Enter the EMF (in volts), temperature (in Kelvin), anodic concentration (mol/m³), anodic fugacity (Pa), and cathodic concentration (mol/m³). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is fugacity in electrochemistry?
A: Fugacity is an effective pressure that accounts for non-ideal behavior of real gases in thermodynamic equations.

Q2: Why is temperature important in this calculation?
A: Temperature affects the exponential term in the Nernst equation, significantly influencing the fugacity ratio.

Q3: What are typical values for anodic fugacity?
A: Anodic fugacity depends on the specific electrolyte system but typically ranges from hundreds to thousands of Pascals.

Q4: How does concentration affect the result?
A: The concentration ratio directly scales the fugacity ratio between the two compartments.

Q5: What is a concentration cell without transference?
A: A cell with identical electrodes but different electrolyte concentrations, where ions don't migrate between compartments.